Finding the Third Proportional to 9,773 and 23,048
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Solution
The third proportional to 9,773 and 23,048 is: 54,354.89
Step by Step Solution
- Step 1: Write the proportion equation
9,773 : 23,048 = 23,048 : x - Step 2: Convert to fraction form
9,773/23,048 = 23,048/x - Step 3: Cross multiply
9,773x = 23,048 × 23,048 - Step 4: Simplify right side
9,773x = 531,210,304 - Step 5: Solve for x
x = 531,210,304/9,773 - Step 6: Final answer
x = 54,354.89
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.